SUMMARY
The discussion centers on recent advancements in solving the Three Body Problem using deep artificial neural networks (DNNs). Two significant preprints are highlighted: one from Nature (https://www.nature.com/articles/s41586-019-1833-8) and another from arXiv (https://arxiv.org/abs/1910.07291). These studies demonstrate that DNNs can approximate the functions generated by numerical integrators, providing a constant-computational cost solution, although the term "solved" may be an overstatement.
PREREQUISITES
- Understanding of the Three Body Problem in classical mechanics
- Familiarity with deep learning concepts and architectures
- Knowledge of numerical integration techniques
- Experience with arXiv and academic research papers
NEXT STEPS
- Research the implications of using DNNs for approximating numerical integrators
- Explore the full preprint on arXiv regarding the Three Body Problem (https://arxiv.org/abs/1909.05272)
- Investigate other applications of DNNs in solving complex physical problems
- Learn about the limitations and challenges of using DNNs in scientific computations
USEFUL FOR
Researchers in computational physics, machine learning practitioners, and anyone interested in the intersection of artificial intelligence and classical mechanics.